/[MITgcm]/manual/s_algorithm/text/spatial-discrete.tex
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revision 1.16 by jmc, Wed Oct 13 18:50:54 2004 UTC revision 1.17 by edhill, Sat Oct 16 03:40:12 2004 UTC
# Line 2  Line 2 
2  % $Name$  % $Name$
3    
4  \section{Spatial discretization of the dynamical equations}  \section{Spatial discretization of the dynamical equations}
5    \begin{rawhtml}
6    <!-- CMIREDIR:spatial_discretization_of_dyn_eq: -->
7    \end{rawhtml}
8    
9  Spatial discretization is carried out using the finite volume  Spatial discretization is carried out using the finite volume
10  method. This amounts to a grid-point method (namely second-order  method. This amounts to a grid-point method (namely second-order
# Line 473  $h_s^{-1}$: {\bf RECIP\_hFacS} ({\em GRI Line 476  $h_s^{-1}$: {\bf RECIP\_hFacS} ({\em GRI
476    
477    
478  \section{Continuity and horizontal pressure gradient terms}  \section{Continuity and horizontal pressure gradient terms}
479    \begin{rawhtml}
480    <!-- CMIREDIR:continuity_and_horizontal_pressure: -->
481    \end{rawhtml}
482    
483    
484  The core algorithm is based on the ``C grid'' discretization of the  The core algorithm is based on the ``C grid'' discretization of the
485  continuity equation which can be summarized as:  continuity equation which can be summarized as:
# Line 511  addition of volume due to excess precipi Line 518  addition of volume due to excess precipi
518  evaporation and only enters the top-level of the {\em ocean} model.  evaporation and only enters the top-level of the {\em ocean} model.
519    
520  \section{Hydrostatic balance}  \section{Hydrostatic balance}
521    \begin{rawhtml}
522    <!-- CMIREDIR:hydrostatic_balance: -->
523    \end{rawhtml}
524    
525  The vertical momentum equation has the hydrostatic or  The vertical momentum equation has the hydrostatic or
526  quasi-hydrostatic balance on the right hand side. This discretization  quasi-hydrostatic balance on the right hand side. This discretization

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